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Finding the Fourth Proportional to 20,378.52, 30,564 and 7,231.14

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Solution

The fourth proportional to 20,378.52, 30,564 and 7,231.14 is: 10,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,378.52 : 30,564 = 7,231.14 : x
  2. Step 2: Convert to fraction form
    20,378.52/30,564 = 7,231.14/x
  3. Step 3: Cross multiply
    20,378.52x = 30,564 × 7,231.14
  4. Step 4: Simplify right side
    20,378.52x = 221,012,562.96
  5. Step 5: Solve for x
    x = 221,012,562.96/20,378.52
  6. Step 6: Final answer
    x = 10,845.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.